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JEE Main & Advanced AIEEE Solved Paper-2010

  • question_answer
      If two tangents drawn from a point P to the parabola\[{{y}^{2}}=4x\]are at right angles, then the locus of P is       AIEEE  Solved  Paper-2010

    A) \[x=1\]

    B)        \[2x+1=0\]         

    C)        \[x=1\]

    D)        \[2x1=0\]

    Correct Answer: C

    Solution :

    \[{{y}^{2}}=4x\]                comparing with \[{{y}^{2}}=4ax\] \[a=1\] Locus of point P will be directrix of given parabola as tangents drawn from P are at right angles, therefore required locus is \[x=a\] \[x=1\]


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